Analysis of difference fairing based on DFT-filter

In this paper, even-order-difference fairing (EOD-fairing) of point-sequenc e curve (PS-curve) is analyzed using a discrete Fourier transform filter (D FT-filter). It is shown that EOD-fairing of a reflection-padded PS-curve is equivalent to DFT-filtering, and a DFT-filter corresponding to the EOD-fai ring operation is derived. Based on the concept of filtering measure, a met hod of determining an "optimal" damping factor for EOD-fairing is proposed, and then the validity of the proposed method is demonstrated via experimen tal tests. (C) 2000 Elsevier Science Ltd. All rights reserved.